Please help lol.. i have to find the value of x..

x = 31

Step-by-step explanation:

The sum of the internal angles = 180°

then:

2x-5 + x+10 + 2x+20 = 180

5x + 25 = 180

5x = 180 - 25

5x = 155

x = 155/5

x = 31

Check:

2*31 - 5   +  31+10   +  2*31 + 20  = 180

62-5  +   41   +  62+20 = 180

57 + 41 + 82 = 180

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)